메뉴 건너뛰기




Volumn 12, Issue 3, 2007, Pages 413-436

Flat rank of automorphism groups of buildings

Author keywords

[No Author keywords available]

Indexed keywords


EID: 36649009952     PISSN: 10834362     EISSN: 1531586X     Source Type: Journal    
DOI: 10.1007/s00031-006-0050-3     Document Type: Article
Times cited : (19)

References (49)
  • 1
    • 34347273035 scopus 로고    scopus 로고
    • Transitivity properties for group actions on buildings
    • P. Abramenko, K. S. Brown, Transitivity properties for group actions on buildings, J. Group Theory 10(3) (2007), 267-278.
    • (2007) J. Group Theory , vol.10 , Issue.3 , pp. 267-278
    • Abramenko, P.1    Brown, K.S.2
  • 2
    • 84959145994 scopus 로고    scopus 로고
    • U. Baumgartner, Totally disconnected, locally compact groups as geometric objects - A survey of work in progress, in: Geometric Group Theory, Geneva and Barcelona Conferences, G. N. Arzhantseva, L. Bartholdi, J. Burillo, E. Ventura (eds.), Trends in Mathematics, Birkhäuser, 2007, pp. 1-20.
    • U. Baumgartner, Totally disconnected, locally compact groups as geometric objects - A survey of work in progress, in: Geometric Group Theory, Geneva and Barcelona Conferences, G. N. Arzhantseva, L. Bartholdi, J. Burillo, E. Ventura (eds.), Trends in Mathematics, Birkhäuser, 2007, pp. 1-20.
  • 3
    • 0000217461 scopus 로고
    • Polygonal complexes and combinatorial group theory
    • W. Ballmann, M. Brin, Polygonal complexes and combinatorial group theory, Geom. Dedicata 50(2) (1994), 165-191.
    • (1994) Geom. Dedicata , vol.50 , Issue.2 , pp. 165-191
    • Ballmann, W.1    Brin, M.2
  • 5
    • 0000025499 scopus 로고
    • Structure of manifolds of nonpositive curvature
    • W. Ballmann, M. Brin, R. Spatzier, Structure of manifolds of nonpositive curvature, II, Ann. of Math. (2) 122(2) (1985), 205-235.
    • (1985) II, Ann. of Math. (2) , vol.122 , Issue.2 , pp. 205-235
    • Ballmann, W.1    Brin, M.2    Spatzier, R.3
  • 7
    • 0036435239 scopus 로고    scopus 로고
    • Continuous bounded cohomology and applications to rigidity theory
    • M. Burger, N. Monod, Continuous bounded cohomology and applications to rigidity theory, Geom. Funct. Anal. 12(2) (2002), 219-280.
    • (2002) Geom. Funct. Anal , vol.12 , Issue.2 , pp. 219-280
    • Burger, M.1    Monod, N.2
  • 9
    • 0004137986 scopus 로고
    • Chapitres 7 et 8, Hermann, Paris
    • N. Bourbaki, Intégration, Chapitres 7 et 8, Hermann, Paris, 1963.
    • (1963) Intégration
    • Bourbaki, N.1
  • 10
    • 36649003995 scopus 로고    scopus 로고
    • Russian source
    • Russian source
  • 11
    • 0004019457 scopus 로고
    • Springer-Verlag, New York
    • K. S. Brown, Buildings, Springer-Verlag, New York, 1989.
    • (1989) Buildings
    • Brown, K.S.1
  • 12
    • 0000740909 scopus 로고
    • Existence of flat tori in analytic manifolds of nonpositive curvature
    • V. Bangert, V. Schroeder, Existence of flat tori in analytic manifolds of nonpositive curvature, Ann. Sci. École Norm. Sup. (4) 24(5) (1991), 605-634.
    • (1991) Ann. Sci. École Norm. Sup. (4) , vol.24 , Issue.5 , pp. 605-634
    • Bangert, V.1    Schroeder, V.2
  • 13
    • 30444451793 scopus 로고    scopus 로고
    • Factor and normal subgroup theorems for lattices in products of groups
    • U. Bader, Y. Shalom, Factor and normal subgroup theorems for lattices in products of groups, Invent. Math. 163 (2006), 415-454.
    • (2006) Invent. Math , vol.163 , pp. 415-454
    • Bader, U.1    Shalom, Y.2
  • 14
    • 28644435112 scopus 로고    scopus 로고
    • The direction of an automorphism of a totally disconnected locally compact group
    • U. Baumgartner, G. A. Willis, The direction of an automorphism of a totally disconnected locally compact group, Math. Z. 252 (2006), 393-428.
    • (2006) Math. Z , vol.252 , pp. 393-428
    • Baumgartner, U.1    Willis, G.A.2
  • 16
    • 33747860526 scopus 로고    scopus 로고
    • Isomorphisms of Kac-Moody groups which preserve bounded subgroups, Preprint
    • P.-E. Caprace, B. Mühlherr, Isomorphisms of Kac-Moody groups which preserve bounded subgroups, Preprint, Adv. in Math. 206 (2006), 250-278.
    • (2006) Adv. in Math , vol.206 , pp. 250-278
    • Caprace, P.-E.1    Mühlherr, B.2
  • 19
    • 0002429594 scopus 로고
    • Buildings are CAT(0), in: Geometry and Cohomology in Group Theory
    • Durham, London Math. Soc, Cambridge University Press, Cambridge
    • M. W. Davis, Buildings are CAT(0), in: Geometry and Cohomology in Group Theory (Durham, 1994), London Math. Soc. Lecture Note Ser., Vol. 252, Cambridge University Press, Cambridge, 1998, pp. 108-123.
    • (1994) Lecture Note Ser , vol.252 , pp. 108-123
    • Davis, M.W.1
  • 21
    • 0039758343 scopus 로고    scopus 로고
    • Scale functions on p-adic Lie groups
    • H. Glöckner, Scale functions on p-adic Lie groups, Manuscripta Math. 97 (1998), 205-215.
    • (1998) Manuscripta Math , vol.97 , pp. 205-215
    • Glöckner, H.1
  • 22
    • 33947374794 scopus 로고    scopus 로고
    • Boundaries of proper cocompact CAT(0)-spaces
    • R. Geoghegan, P. Ontaneda, Boundaries of proper cocompact CAT(0)-spaces, Topology 46 (2007), 129-137.
    • (2007) Topology , vol.46 , pp. 129-137
    • Geoghegan, R.1    Ontaneda, P.2
  • 24
    • 36649008444 scopus 로고    scopus 로고
    • M. Gromov, Asymptotic invariants of infinite groups in: Geometric Group Theory, 2 (Sussex, 1991), London Math. Soc. Lecture Note Ser., 182, Cambridge University Press, Cambridge, 1993, pp. 1-295.
    • M. Gromov, Asymptotic invariants of infinite groups in: Geometric Group Theory, Vol.2 (Sussex, 1991), London Math. Soc. Lecture Note Ser., Vol. 182, Cambridge University Press, Cambridge, 1993, pp. 1-295.
  • 25
    • 0035531572 scopus 로고    scopus 로고
    • Uniscalar p-adic Lie groups
    • H. Glöckner, G. A. Willis, Uniscalar p-adic Lie groups, Forum Math. 13 (2001), 413-421.
    • (2001) Forum Math , vol.13 , pp. 413-421
    • Glöckner, H.1    Willis, G.A.2
  • 27
    • 0030503773 scopus 로고    scopus 로고
    • Concentration functions in locally compact groups
    • W. Jaworski, J. Rosenblatt, G. Willis, Concentration functions in locally compact groups, Math. Ann. 305 (1996), 673-691.
    • (1996) Math. Ann , vol.305 , pp. 673-691
    • Jaworski, W.1    Rosenblatt, J.2    Willis, G.3
  • 29
    • 0033432203 scopus 로고    scopus 로고
    • The local structure of length spaces with curvature bounded above
    • B. Kleiner, The local structure of length spaces with curvature bounded above, Math. Z. 231(3) (1999), 409-456.
    • (1999) Math. Z , vol.231 , Issue.3 , pp. 409-456
    • Kleiner, B.1
  • 30
    • 36649029857 scopus 로고    scopus 로고
    • D. Krammer, The Conjugacy Problem for Coxeter Groups, PhD thesis, Universiteit Utrecht, Faculteit Wiskunde & Informatica, 1994.
    • D. Krammer, The Conjugacy Problem for Coxeter Groups, PhD thesis, Universiteit Utrecht, Faculteit Wiskunde & Informatica, 1994.
  • 31
    • 0003533680 scopus 로고
    • Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge, Springer-Verlag, New York
    • G. A. Margulis, Discrete Subgroups of Semisimple Lie Groups, Ergebnisse der Mathematik und ihrer Grenzgebiete, Vol. 17 (3. Folge), Springer-Verlag, New York, 1989.
    • (1989) Discrete Subgroups of Semisimple Lie Groups , vol.17
    • Margulis, G.A.1
  • 32
    • 0036686814 scopus 로고    scopus 로고
    • Structure theory of totally disconnected locally compact groups via graphs and permutations
    • R. G. Möller, Structure theory of totally disconnected locally compact groups via graphs and permutations, Canad. J. Math. 54 (2002), 795-827.
    • (2002) Canad. J. Math , vol.54 , pp. 795-827
    • Möller, R.G.1
  • 33
    • 12944300925 scopus 로고    scopus 로고
    • Superrigidity for irreducible lattices and geometric splitting
    • N. Monod, Superrigidity for irreducible lattices and geometric splitting, C. R. Math. Acad. Sci. Paris 340(3) (2005), 185-190.
    • (2005) C. R. Math. Acad. Sci. Paris , vol.340 , Issue.3 , pp. 185-190
    • Monod, N.1
  • 36
    • 0001169077 scopus 로고
    • Strong approximation for semisimple groups over function fields
    • G. Prasad, Strong approximation for semisimple groups over function fields, Ann. of Math. (2) 105(3) (1977), 553-572.
    • (1977) Ann. of Math. (2) , vol.105 , Issue.3 , pp. 553-572
    • Prasad, G.1
  • 37
    • 4944232089 scopus 로고    scopus 로고
    • Classical and nonlinearity properties of Kac-Moody lattices
    • Cambridge, Springer-Verlag, Berlin
    • B. Rémy, Classical and nonlinearity properties of Kac-Moody lattices, in: Rigidity in Dynamics and Geometry (Cambridge, 2000), Springer-Verlag, Berlin, 2002, pp. 391-406.
    • (2000) Rigidity in Dynamics and Geometry , pp. 391-406
    • Rémy, B.1
  • 38
    • 33947722816 scopus 로고    scopus 로고
    • Groupes de Kac-Moody déployés et presque déployés
    • viii+348
    • B. Rémy, Groupes de Kac-Moody déployés et presque déployés, Astérisque 277 (2002), viii+348.
    • (2002) Astérisque , vol.277
    • Rémy, B.1
  • 39
    • 4944224407 scopus 로고    scopus 로고
    • B. Rémy, Topological simplicity, commensurator super-rigidity and non-linearities of Kac-Moody groups, Geom. Funct. Anal. 14(4) (2004), 810-852, with an appendix by P. Bonvin.
    • B. Rémy, Topological simplicity, commensurator super-rigidity and non-linearities of Kac-Moody groups, Geom. Funct. Anal. 14(4) (2004), 810-852, with an appendix by P. Bonvin.
  • 40
    • 23044479198 scopus 로고    scopus 로고
    • Integrability of induction cocycles for Kac-Moody groups
    • B. Rémy, Integrability of induction cocycles for Kac-Moody groups, Math. Ann. 333(1) (2005), 29-43.
    • (2005) Math. Ann , vol.333 , Issue.1 , pp. 29-43
    • Rémy, B.1
  • 42
    • 33750921975 scopus 로고    scopus 로고
    • Topological groups of Kac-Moody type, right-angled twinnings and their lattices
    • B. Rémy, M. Ronan, Topological groups of Kac-Moody type, right-angled twinnings and their lattices, Comment. Math. Helv. 81(1) (2006) 191-219.
    • (2006) Comment. Math. Helv , vol.81 , Issue.1 , pp. 191-219
    • Rémy, B.1    Ronan, M.2
  • 44
    • 36649007370 scopus 로고    scopus 로고
    • Hayk CCCP, cep. MaT. 35 (1971), 1072-1112.
    • Hayk CCCP, cep. MaT. 35 (1971), 1072-1112.
  • 45
    • 33747117685 scopus 로고
    • Discrete linear groups generated by reflections
    • English transl: È. B. Vinberg, Discrete linear groups generated by reflections, Math. USSR, Izv. 5 (1972), 1083-1119.
    • (1972) Math. USSR, Izv , vol.5 , pp. 1083-1119
    • English transl, E.1    Vinberg, B.2
  • 46
    • 0001299444 scopus 로고
    • The structure of totally disconnected locally compact groups
    • G. A. Willis, The structure of totally disconnected locally compact groups, Math. Ann. 300 (1994), 341-363.
    • (1994) Math. Ann , vol.300 , pp. 341-363
    • Willis, G.A.1
  • 48
    • 3042683507 scopus 로고    scopus 로고
    • Tidy subgroups for commuting automorphisms of totally disconnected locally compact groups: An analogue of simultanous triangularisation of matrices
    • available at
    • G. A. Willis, Tidy subgroups for commuting automorphisms of totally disconnected locally compact groups: An analogue of simultanous triangularisation of matrices, New York J. Math. 10 (2004), 1-35, available at http://nyjm.albany.edu:8000/j/2004/Vol10.htm.
    • (2004) New York J. Math , vol.10 , pp. 1-35
    • Willis, G.A.1
  • 49
    • 17044435929 scopus 로고    scopus 로고
    • Approximating flats by periodic flats in CAT(0) square complexes
    • D. T. Wise, Approximating flats by periodic flats in CAT(0) square complexes, Canad. J. Math. 57(2) (2005), 416-448.
    • (2005) Canad. J. Math , vol.57 , Issue.2 , pp. 416-448
    • Wise, D.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.